Simplify the following: (2a+3b)^3

Answer:

Step-by-step explanation:

2x + 15 + x + 90 = 180

3x + 105 = 180

3x = 75

x = 25

2(25) + 15 = 50 + 15 = 65 for m<D

Answer: 20 children

Step-by-step explanation:

Given

Year 4: 11 cannot swim

Year 5: 21 can swim

Year 6: 18 of 30 can swim

Total 96 children

Total 37 cannot swim

First Step: find the number of people from year 5 who cannot swim

Second Step: find the number of children in year 5

Third Step: find the number of children in year 4 who can swim

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x=6,y=13

Step-by-step explanation:

Eliminate the equal sides of each equation and combine.

x+7=2x+1

Solve x+7=2x+1

x=6

Evaluate yy when x=6

y=13

The solution to the system is the complete set of ordered pairs that are valid solutions.

(6,13)

The result can be shown in multiple forms.

Point Form:

(6,13)

Equation Form:

x=6,y=13

Answer:

y= 2/3x

Step-by-step explanation:

Hi, the slope-intercept would be y= 2/3x. This is because the city receives 4 inches of snow every 6 hours. 4/6 simplified is 2/3.

Answer:

83.96 (approximately)

Step-by-step explanation:

I am not completely sure what the problem is asking, just like the last one, but I believe that you are just supposed to take the inverse of cosine. So, in your calculator, make sure it is in degrees mode, then usually you have to click the 2nd key and then cosine. You use the inverse of cosine when two sides are given, but you are not given the angle.

It should look like:

[tex]cos^{-1}(\frac{4}{38})[/tex], which is approximately 83.96.

Hopefully this is right, if not, please let me know. Good luck.

Answer:

192 cm^3

Step-by-step explanation:

Volume equals Area of the base times the height divided by three.

V = length * width * height

                      3

V = 8 * 6 * 12   =   192 cm^3

           3

Answer:

1a. x=2 1b. x= -1

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

To find the degree, use the exponent. An exponent of two means a degree of two, like an exponent of four means a degree of four

Answer:

y = - [tex]\frac{1}{4}[/tex] x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

2x + 8y = 24 ( subtract 2x from both sides )

8y = - 2x + 24 ( divide all terms by 8 )

y = - [tex]\frac{1}{4}[/tex] x + 3 ← in slope- intercept form

Answer:

m= 3/7

Step-by-step explanation:

I'm assuming the question is solve for the variable, m.

First step is to isolate the variable

In other words, let's move everything (but m) from the left side to the right side

To move 7 to the right side, we can either divide both sides by 7 or multiply both sides by 1/7 (both equal the same thing)

7/3m × 1/7 = 1 × 1/7

1/3m = 1/7

Now we must move 1/3 from the left to the right side

We can use the reciprocal, 3/1, to do this

1/3m × 3/1 = 1/7 × 3/1

m = 3/7

Answer:

7

Step-by-step explanation:

The new expression would be: 2(10) / 5 + 3. Using PEMDAS, first multiply 2(10) to get 20. Now you get: 20 / 5 + 3. Using PEMDAS, now divide 20 / 5 to get 4. The new expression is 4 + 3. Now, add to get 7 as your answer.

Hope it helps!

Answer:

A. the rational number system is closed under addition, but not multiplication

Step-by-step explanation:

may i pleaseee have brainliest

Answer:

8

Step-by-step explanation:

Isolate and solve for C

[tex]c + (-20) = -12\\c - 20 = -12\\c = -12+20\\c = 8[/tex]

Answer:

C = 8

Step-by-step explanation:

By reversing the equation, you can get the result.

-12 + 20 = ?

-12 + 20 = 8

Proofcheck:

8 + (-20) = ?

8 + (-20) = -12

Answer:

g⁶⁰

Step-by-step explanation:

(g⁶) ¹⁰

When you raise an exponent to another exponent, you multiply the exponents.

6 × 10 = 60

(g⁶)¹⁰ = g⁶⁰

Answer:

g^60

Step-by-step explanation:

multiply the exponents 6 and 10 and it will be 60 like this g^60 I hope this  helped you :) Im sorry if it was wrong

Answer:

[tex]\frac{1}{3^{4} }[/tex]

Step-by-step explanation:

You can rewrite 3⁻⁴ as 1/(3⁴) or 1/81 without negative exponents.

The product rule is an exponent rule that states that when you multiply similar bases, the add exponents.

For example, (a²)·(a³) = a²⁺³ = a⁵

You can rewrite 3⁻⁴ as 1/(3⁴) because any number raised to a negative exponent is equal to 1 divided by that number raised to the opposite positive exponent.

So 3⁻⁴ = 1/(3⁴) = 1/81

Another way, you can think of it as "flipping" the base, i.e. (1/3)⁴ = 1/81

Learn more about the polynomial here:

brainly.com/question/11536910

#SPJ2

Answer:

I  hope this helps

Step-by-step explanation:

Diameter (in)      Area (sq.)     Times bigger than 10 in

10                           79                              1

12                            113                             1.4

Answer: 9/2

Step-by-step explanation:

21=2(6) + 2(?)

21=12 + 2(?)

9=2(?)

(9/2)=?

Answer:

v=18

u=4

Step-by-step explanation:

v/3=6

v=18

2u+2=5u-10

3u=12

u=4

Answer:

Step-by-step explanation:

Answer:

15,600 Gallons

Step-by-step explanation:

The 30% of 12000 is 3600 thus, Jessica's family used 15600 gallons of water.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Last used of water = 12000

30% of 12000 = (30/100)12000 = 3600

Water used in the current year = 12000 + 3600 = 15600 gallons.

Hence "The 30% of 12000 is 3600 thus, Jessica's family used 15600 gallons of water".

For more about the percentage,

brainly.com/question/13450942

#SPJ2

Answer: Triangular Prism I think

Step-by-step explanation:

Answer:

60 cm ( squared )

Step-by-step explanation:

you can find the area of the trapezoid ( by decomposing it into other shapes ) by separating two triangles, and using the formula to find the area of triangles, which is A= 1/2 ( b x h ) and add the answer to those together ( 16 cm squared and 4 cm squared ), and after that, you can find the area to the rectangle by multiplying the l x w, which is 10 x 4 ( after separating the triangles.). That equals 40, and when you add them all together ( 16 + 4 + 40 ) it equals 60 cm (squared).

Answer:

Step-by-step explanation:

to prove that, that is a right triangle you use the theorem that the two shorter sides square added equals the longest side squared

so if its a right triangle then 10^2+12^2 will equal 15^2

10^2+12^2=244

15^2=225

225 does not equal 224 so that is not a right angle

Answer:

d

Step-by-step explanation:

Radius = 4

area:

4x4x3.14x12=602.88

Answer:

A=-4

B=4

C=-4

D=4

Step-by-step explanation:

Answer:

3x+45

/3x /3x

x= 15

Answer:

Probably -3

Step-by-step explanation:

If it's going by 3s, then it should be -3.

Answer:

-3

Step-by-step explanation: